Geodesic
Univalent Harmonic Mappings Between Jordan Domains
Publications de l'Institut Mathématique, _N_S_69 (2001) no. 83, p. 108 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We give a classification of univalent harmonic functions of a Jordan domain onto a convex Jordan domain with boundary which does not contain linear segments. It is interesting that the boundary function must be continuous but not necessarily univalent function, contrary to the case of conformal mappings.
Classification : 30C55 31A05
Keywords: Complex functions, Planar harmonic mappings 
@article{PIM_2001_N_S_69_83_a13,
     author = {David Kaljaj},
     title = {Univalent {Harmonic} {Mappings} {Between} {Jordan} {Domains}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {108 },
     publisher = {mathdoc},
     volume = {_N_S_69},
     number = {83},
     year = {2001},
     zbl = {1029.30502},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2001_N_S_69_83_a13/}
}
TY  - JOUR
AU  - David Kaljaj
TI  - Univalent Harmonic Mappings Between Jordan Domains
JO  - Publications de l'Institut Mathématique
PY  - 2001
SP  - 108 
VL  - _N_S_69
IS  - 83
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PIM_2001_N_S_69_83_a13/
LA  - en
ID  - PIM_2001_N_S_69_83_a13
ER  - 
%0 Journal Article
%A David Kaljaj
%T Univalent Harmonic Mappings Between Jordan Domains
%J Publications de l'Institut Mathématique
%D 2001
%P 108 
%V _N_S_69
%N 83
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PIM_2001_N_S_69_83_a13/
%G en
%F PIM_2001_N_S_69_83_a13
David Kaljaj. Univalent Harmonic Mappings Between Jordan Domains. Publications de l'Institut Mathématique, _N_S_69 (2001) no. 83, p. 108 . http://geodesic.mathdoc.fr/item/PIM_2001_N_S_69_83_a13/